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GAURAV KUMAR

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· 1 Months ago

the thing under square root will be written as square and then its square root is taken that can be positive or negative both. so the ans can be any of them

Question:
If \(\theta\) = 60°, \(\cfrac{1}{2} \ \sqrt{1 + sin \ \theta} + \cfrac{1}{2}\ \sqrt{1 - sin \ \theta} \)    then  is equal to - 
Options:
A) cot \(\cfrac{\theta}{2}\)
B) sec \(\cfrac{\theta}{2}\)
C) sin \(\cfrac{\theta}{2}\)
D) cos \(\cfrac{\theta}{2}\)
Solution:
Ans: (d)

Just apply the trigonometric formula:
1+sinx = [sinx/2 + cosx/2]^2

Now,


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